%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:25:39 PM UTC 2026
% Result : Unsatisfiable 3.40s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n002.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 08:50:01 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 3.40/0.99 % Refutation found
% 3.40/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.40/0.99 % SZS output start CNFRefutation for theBenchmark
% 3.40/0.99 fof(f3,axiom,(
% 3.40/0.99 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f22,axiom,(
% 3.40/0.99 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f45,axiom,(
% 3.40/0.99 (![U,V]: (between(U,V,V) ))),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f73,axiom,(
% 3.40/0.99 (![U,V,W,U1,W1]: (( ~ between(U,V,W)| ~ equidistant(U,W,U1,W1)| equidistant(V,W,insertion(U1,W1,U,V),W1) ) ))),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f74,axiom,(
% 3.40/0.99 (![U,V,W]: (( ~ between(U,V,W)| V = insertion(U,W,U,V) ) ))),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f83,hypothesis,(
% 3.40/0.99 between(u,v,w) ),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f84,hypothesis,(
% 3.40/0.99 equidistant(u,v,u,w) ),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f85,negated_conjecture,(
% 3.40/0.99 v != w ),
% 3.40/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.40/0.99 fof(f89,plain,(
% 3.40/0.99 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 3.40/0.99 inference(miniscoping,[status(thm)],[f3])).
% 3.40/0.99 fof(f90,plain,(
% 3.40/0.99 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f89])).
% 3.40/0.99 fof(f111,plain,(
% 3.40/0.99 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f22])).
% 3.40/0.99 fof(f139,plain,(
% 3.40/0.99 ![X0,X1]: (between(X0,X1,X1))),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f45])).
% 3.40/0.99 fof(f184,plain,(
% 3.40/0.99 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~equidistant(X0,X2,X3,X4)|equidistant(X1,X2,insertion(X3,X4,X0,X1),X4))),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f73])).
% 3.40/0.99 fof(f185,plain,(
% 3.40/0.99 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=insertion(X0,X2,X0,X1))),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f74])).
% 3.40/0.99 fof(f202,plain,(
% 3.40/0.99 between(u,v,w)),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f83])).
% 3.40/0.99 fof(f203,plain,(
% 3.40/0.99 equidistant(u,v,u,w)),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f84])).
% 3.40/0.99 fof(f204,plain,(
% 3.40/0.99 ~v=w),
% 3.40/0.99 inference(cnf_transformation,[status(thm)],[f85])).
% 3.40/0.99 fof(f466,plain,(
% 3.40/0.99 equidistant(u,w,u,v)),
% 3.40/0.99 inference(resolution,[status(thm)],[f111,f203])).
% 3.40/0.99 fof(f1524,plain,(
% 3.40/0.99 ![X0,X1]: (~equidistant(u,w,X0,X1)|equidistant(v,w,insertion(X0,X1,u,v),X1))),
% 3.40/0.99 inference(resolution,[status(thm)],[f184,f202])).
% 3.40/0.99 fof(f1535,plain,(
% 3.40/0.99 ![X0,X1]: (X0=insertion(X1,X0,X1,X0))),
% 3.40/0.99 inference(resolution,[status(thm)],[f185,f139])).
% 3.40/0.99 fof(f1815,plain,(
% 3.40/0.99 equidistant(v,w,insertion(u,v,u,v),v)),
% 3.40/0.99 inference(resolution,[status(thm)],[f1524,f466])).
% 3.40/0.99 fof(f1824,plain,(
% 3.40/0.99 equidistant(v,w,v,v)),
% 3.40/0.99 inference(forward_demodulation,[status(thm)],[f1535,f1815])).
% 3.40/0.99 fof(f1895,plain,(
% 3.40/0.99 v=w),
% 3.40/0.99 inference(resolution,[status(thm)],[f1824,f90])).
% 3.40/0.99 fof(f1912,plain,(
% 3.40/0.99 $false),
% 3.40/0.99 inference(forward_subsumption_resolution,[status(thm)],[f1895,f204])).
% 3.40/0.99 % SZS output end CNFRefutation for theBenchmark.p
% 0.34/1.01 % Elapsed time: 0.567798 seconds
% 0.34/1.01 % CPU time: 4.124621 seconds
% 0.34/1.01 % Total memory used: 121.056 MB
% 0.34/1.01 % Net memory used: 118.083 MB
%------------------------------------------------------------------------------